Basic properties
Modulus: | \(9025\) | |
Conductor: | \(9025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(190\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
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Real: | no | |
Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 9025.bx
\(\chi_{9025}(39,\cdot)\) \(\chi_{9025}(134,\cdot)\) \(\chi_{9025}(229,\cdot)\) \(\chi_{9025}(419,\cdot)\) \(\chi_{9025}(514,\cdot)\) \(\chi_{9025}(609,\cdot)\) \(\chi_{9025}(704,\cdot)\) \(\chi_{9025}(894,\cdot)\) \(\chi_{9025}(989,\cdot)\) \(\chi_{9025}(1179,\cdot)\) \(\chi_{9025}(1369,\cdot)\) \(\chi_{9025}(1464,\cdot)\) \(\chi_{9025}(1559,\cdot)\) \(\chi_{9025}(1654,\cdot)\) \(\chi_{9025}(1844,\cdot)\) \(\chi_{9025}(1939,\cdot)\) \(\chi_{9025}(2034,\cdot)\) \(\chi_{9025}(2129,\cdot)\) \(\chi_{9025}(2319,\cdot)\) \(\chi_{9025}(2414,\cdot)\) \(\chi_{9025}(2509,\cdot)\) \(\chi_{9025}(2604,\cdot)\) \(\chi_{9025}(2794,\cdot)\) \(\chi_{9025}(2984,\cdot)\) \(\chi_{9025}(3079,\cdot)\) \(\chi_{9025}(3269,\cdot)\) \(\chi_{9025}(3364,\cdot)\) \(\chi_{9025}(3459,\cdot)\) \(\chi_{9025}(3554,\cdot)\) \(\chi_{9025}(3744,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{95})$ |
Fixed field: | Number field defined by a degree 190 polynomial (not computed) |
Values on generators
\((5777,3251)\) → \((e\left(\frac{3}{10}\right),e\left(\frac{7}{19}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 9025 }(39, a) \) | \(1\) | \(1\) | \(e\left(\frac{127}{190}\right)\) | \(e\left(\frac{59}{190}\right)\) | \(e\left(\frac{32}{95}\right)\) | \(e\left(\frac{93}{95}\right)\) | \(e\left(\frac{29}{38}\right)\) | \(e\left(\frac{1}{190}\right)\) | \(e\left(\frac{59}{95}\right)\) | \(e\left(\frac{36}{95}\right)\) | \(e\left(\frac{123}{190}\right)\) | \(e\left(\frac{173}{190}\right)\) |